Short answer, no.
Eventually you’ll need your manuscript to be in a common form like Microsoft Word (not Google docs) for the editor to work on it. But until that time, work with what you’re comfortable with.
Many writing programs exist that have multiple bells and whistles, but none of them are required, especially if you’re on a budget. You may do best to start on a basic word processing program, then later you can play with something like Scrivener or Plottr. Most programs have a free trial period so you can decide if it’s worth the ramp up time to make the purchase.
If you already own Microsoft Word, get to know the many features it offers before spending money on something else. There are plenty of free YouTube videos in addition to the Microsoft Learning page. Learn to use Styles at a minimum, then the outline tool that is found under navigation. I was going to link to one, but there are so many to choose from, you won’t have trouble finding one that works for you.
The Styles are important because they will help you organize your chapters or big sections to make them easy to move around. You can move them from within your outline view with a click and drag.
When I’m working on my drafts, I pick a heading 4 or 5 and use that for quick reference note to myself at the beginning of each section. For example: Introduce 2d suspect; fight on the ferry. Then when I look at the outline view on the navigation panel, I can jump to what I’m looking for. When I’m finished, I just delete those notes.
I don’t recommend Word to layout the final design of your book. There are better programs for that, but if you are going to pitch to an agent for a traditional book deal, layout won’t be your problem anyway.
If you want to try something flashier, here’s an article that discusses the different pros and cons to writing software programs. Interestingly, he doesn’t recommend Word, although he admits it’s the industry standard.
Whatever program you use, make sure it can export into a basic word processor like Microsoft Word so you can share your manuscript with your critique groups, editor, or agent.